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2226267264 = 27313445967
BaseRepresentation
bin1000010010110010…
…0010010010000000
312202011010002120010
42010230202102000
514024411023024
61004524344520
7106111650054
oct20454422200
95664102503
102226267264
11a42740601
125216a5140
132962ca610
14171957c64
15d06a9b29
hex84b22480

2226267264 has 64 divisors (see below), whose sum is σ = 6368423040. Its totient is φ = 685003776.

The previous prime is 2226267257. The next prime is 2226267287. The reversal of 2226267264 is 4627626222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217992 + ... + 227975.

It is an arithmetic number, because the mean of its divisors is an integer number (99506610).

Almost surely, 22226267264 is an apocalyptic number.

2226267264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2226267264 is an abundant number, since it is smaller than the sum of its proper divisors (4142155776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2226267264 is a wasteful number, since it uses less digits than its factorization.

2226267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445997 (or 445985 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 2226267264 is about 47183.3367196514. The cubic root of 2226267264 is about 1305.7471906094.

The spelling of 2226267264 in words is "two billion, two hundred twenty-six million, two hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 445967 891934 1337901 1783868 2675802 3567736 5351604 5797571 7135472 10703208 11595142 14270944 17392713 21406416 23190284 28541888 34785426 42812832 46380568 57083776 69570852 85625664 92761136 139141704 171251328 185522272 278283408 371044544 556566816 742089088 1113133632 2226267264